PERFORMANCE TASK
GROUP 6
Differentiation
Differentiation
Rules Maze
Rules Maze
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Differentiation Rules Maze, Assignments of Mathematics
A performance task for a group of students, where they are required to navigate through a maze and find the derivative of each function stepped on to finish the maze. The maze consists of 20 tiles, and 10 tiles need to be completed to finish the maze, but the students must be careful to avoid 8 traps. The functions provided in the maze include various algebraic and transcendental functions, such as power functions, polynomial functions, logarithmic functions, and trigonometric functions. The task aims to test the students' understanding of differentiation rules and their ability to apply them in a practical problem-solving scenario. The document could be useful for university students studying calculus or advanced mathematics courses, as it provides an engaging and interactive way to practice and reinforce their knowledge of differentiation.
Typology: Assignments
2023/2024
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P E R F O R M A N C E T A S K
GROUP 6
Differentiation Differentiation
Rules Maze Rules Maze
InstructionInstruction
There are 20 tiles in this maze. 10 tiles are
needed to finish this maze, but be careful to
not step on 8 traps. Find the derivative of each
function stepped on to finish the maze.
AnswerAnswer
f(x)= x⁻² START FINISH f(x)= - f'(x)= 0 -27 f(x)= x⁵ f(x)= 6x²-4x f(x)= x²(x+3)
f(x)=
(2x²-8)⁴
f(x)= 9x³
f(x)= 12x²
5x⁴
f(x)=
x³+5x²+
3x²+ 10x f(x)= 3π+2 / 10x (4x²-7)³ f(x)= (x³-6)⁴ f(x)= -12/x⁴
f(x)=
2x²+x⁹+
f(x)= x³-x^- 0 20x⁴
- 48x^- 24x 3/ 3x+ 3x(x+2) 12x-
f(x)=
ln(3x+4)
3x²+ 2x^-
f(x)=
4x⁵-8x
f'(x)= -5^ f'(x)= 2x³
f(x)=
log₈x
f'(x)= 24x -2/x³ 2x
f(x)=log₃x
1/ xln(8) f'(x)= 2/x f'(x)= 3π f'(x)= log f'(x)= x³+ f'(x)= 2x(x-4) f'(x)= 12x ⁵ f'(x)= xln 27x² 3x (3x²) 1/ xln(3) 4x+ 9x⁸ -4x⁶ 12x² (x³-6)³